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a person s savings for 3 years are in an arithmetic progression that in the 3 years he has saved cs 24 000 and in the firs

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A person's savings for 3 years are in an arithmetic progression that in the 3 years he has saved cs 24,000 and in the first year he saves more than he saved in the second year

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Answer to a math question A person's savings for 3 years are in an arithmetic progression that in the 3 years he has saved cs 24,000 and in the first year he saves more than he saved in the second year

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89 Answers

Let's denote the amount saved in the first year as

a

, the common difference as

d

, and the total amount saved in 3 years as

24,000

. Since the savings are in an arithmetic progression, we have the following equations:

1) Amount saved in the 1st year:

a

2) Amount saved in the 2nd year:

a + d

3) Amount saved in the 3rd year:

a + 2d

From the given information, we have the total amount saved in 3 years:

a + (a + d) + (a + 2d) = 24,000

Simplify the equation:

3a + 3d = 24,000

Divide by 3:

a + d = 8,000

Since the amount saved in the 1st year is more than the 2nd year, we have:

a > a + d

Simplify this inequality:

a > 8,000

Therefore, the person's savings for the 3 years are

a + (a+d) + (a+2d) = 2a + 3d = a + a + 8,000 = 2a + 8,000

and the amount saved in the first year is greater than

8,000

.

\textbf{Answer:} The person's savings for 3 years are

2a + 8,000

, where

a > 8,000

.

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